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Simplifying (x + 4) + 3 = 2x(4.5 + 0.75) Reorder the terms: (4 + x) + 3 = 2x(4.5 + 0.75) Remove parenthesis around (4 + x) 4 + x + 3 = 2x(4.5 + 0.75) Reorder the terms: 4 + 3 + x = 2x(4.5 + 0.75) Combine like terms: 4 + 3 = 7 7 + x = 2x(4.5 + 0.75) Combine like terms: 4.5 + 0.75 = 5.25 7 + x = 2x(5.25) Reorder the terms for easier multiplication: 7 + x = 2 * 5.25x Multiply 2 * 5.25 7 + x = 10.5x Solving 7 + x = 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. 7 + x + -10.5x = 10.5x + -10.5x Combine like terms: x + -10.5x = -9.5x 7 + -9.5x = 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 7 + -9.5x = 0.0 Add '-7' to each side of the equation. 7 + -7 + -9.5x = 0.0 + -7 Combine like terms: 7 + -7 = 0 0 + -9.5x = 0.0 + -7 -9.5x = 0.0 + -7 Combine like terms: 0.0 + -7 = -7 -9.5x = -7 Divide each side by '-9.5'. x = 0.7368421053 Simplifying x = 0.7368421053
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